$$\boldsymbol{\mathfrak{B}}$$-Strong Convergence via Orlicz Function

In the present paper, we introduce the notion of $$\mathfrak{B}$$ -strong convergence with respect to an Orlicz function and prove that $$\mathfrak{B}$$ -strong convergence, $$\mathfrak{B}$$ -statistical convergence, and $$\mathfrak{B}$$ -strong convergence with respect to an Orlicz function are boundedly equivalent provided that Orlicz function satisfies $$\triangle_{2}$$ -condition. We also get an improvement of this result by using the concept of uniform integrability.